---
res:
  bibo_abstract:
  - We consider Hermitian and symmetric random band matrices H = (h xy ) in d⩾1 d
    ⩾ 1 dimensions. The matrix entries h xy , indexed by x,y∈(Z/LZ)d x , y ∈ ( Z /
    L Z ) d , are independent, centred random variables with variances sxy=E|hxy|2
    s x y = E | h x y | 2 . We assume that s xy is negligible if |x − y| exceeds the
    band width W. In one dimension we prove that the eigenvectors of H are delocalized
    if W≫L4/5 W ≫ L 4 / 5 . We also show that the magnitude of the matrix entries
    |Gxy|2 | G x y | 2 of the resolvent G=G(z)=(H−z)−1 G = G ( z ) = ( H - z ) - 1
    is self-averaging and we compute E|Gxy|2 E | G x y | 2 . We show that, as L→∞
    L → ∞ and W≫L4/5 W ≫ L 4 / 5 , the behaviour of E|Gxy|2 E | G x y | 2 is governed
    by a diffusion operator whose diffusion constant we compute. Similar results are
    obtained in higher dimensions.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: László
      foaf_name: László Erdös
      foaf_surname: Erdös
      foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-5366-9603
  - foaf_Person:
      foaf_givenName: Antti
      foaf_name: Knowles, Antti
      foaf_surname: Knowles
  - foaf_Person:
      foaf_givenName: Horng
      foaf_name: Yau, Horng-Tzer
      foaf_surname: Yau
  - foaf_Person:
      foaf_givenName: Jun
      foaf_name: Yin, Jun
      foaf_surname: Yin
  bibo_doi: 10.1007/s00220-013-1773-3
  bibo_issue: '1'
  bibo_volume: 323
  dct_date: 2013^xs_gYear
  dct_publisher: Springer@
  dct_title: Delocalization and diffusion profile for random band matrices@
...